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xiv 0.5 Neighbours of 2x2 Games 1. Find the games that have been assigned to you in the file "YOUR GAMES" 2. Identify your two games using the figures in the text. 3. Name your games if names are avaialbe. 4. Make up a payoff matrix for each of your games. 5. identify and Nash equibria. 6. Show your two games in payoff space: Symmetric Non-Symmetric left right left right up Row down 0.5. NEIGHBOURS OF 2X2 GAMES XV 7. The Symmetric game has three symmetric neighbours. Sketch the three sym- metric neighbours. You can find them by swapping values in your payoff matrix or sketch. Your Symmetric game Neighbours 8. Show the payoff matrices of the symmetric neighbours Table 9: default Column Column Column left right left right left right Row up up up down down down 9. Your Asymmetric game has six neighbours. On the next page sketch the six neighbours. Four of them are adjacent on the Periodic Table. You can simply copy the figure form the table. Note: a solid line in thePeriodic table appears as a double line in these notes and on the board. Two of the neighbours will appear near the same position but on other layers. These will be harder to find. You find one using the 3-4 swap for row and the 3-4 swap of column. 10. Show the payoff matrices of the six neighbours 11. In each of the figures and tables indicate the equilibria if there are any. xvi Column Column left right left right Row up up down down Column YOUR GAME Column left right left right left right Row up up up down down down Column Column left right left right up up down down Each student has one symmetric and one non-symmetric game to explore. In the table below your number in the class list is given the second column has the identifier for the symmetric game and the right column has the Robinson- Gorforth identifier for the asymmetric game Asym 23 21 232 48 43 454 Sym- metri # metric 24 31 432 49 34 255 C game game 25 41 234 50 12 455 1 12 212 26 42 434 51 21 256 2 21 412 27 43 235 52 31 456 3 31 213 28 34 435 53 41 456 4 41 413 29 12 236 54 42 456 5 42 214 30 21 436 55 43 456 6 43 414 31 31 241 56 34 456 7 34 215 32 41 441 57 12 456 8 12 415 33 42 242 58 21 456 9 21 216 34 43 442 59 31 456 10 31 416 35 34 243 60 41 456 11 41 221 36 12 443 61 42 456 12 42 421 37 21 245 62 43 456 13 43 223 38 31 445 63 34 456 14 34 423 39 41 246 64 12 456 15 12 224 40 42 446 65 21 456 16 21 424 41 43 251 66 31 456 17 31 225 42 34 451 67 41 456 18 41 425 43 12 252 68 42 456 19 42 226 44 21 452 20 43 426 45 31 253 21 34 231 46 41 453 22 12 431 47 42 254 1 Macintosh HD:Users:drobinson:Documents:Microsoft User Data:Normal

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